(a) The graph of \( y=f(x) \) is shown. Translate it to get the graph of \( y=f(x-5) \). (b) The graph of \( y=g(x) \) is shown. Translate it to get the graph of \( y=g(x)-2 \).

Use the theorems proved in class about induction to evaluate the sums below. (Note that you are begin asked to apply the theorems, not formally proving a new theorem.) a. \( 7+14+21+28+\cdots+350^{\circ} \) b. \( 16+17+18+\cdots+411 \) c. \( 1-\frac{1}{10}+\frac{1}{100}-\frac{1}{1000} \cdots+\frac{1}{10^{18}} \)

Let \( f(x)=7\left(\frac{1}{2}\right)^{x} \). Complete parts (a) through (e) below (c) Find any asymptotes of the graph of \( f \). Select the co

Graph all vertical and horizontal asymptotes of the \[ f(x)=\frac{8 x-7}{-2 x-1} \]

1. Write the following sets as an interval or union of interval. In each case \( x \in \Re \). a) \( A=\{x: x \neq 0 \wedge x \neq 8\} \) b) \( B=\left\{x: x^{2}\left(x^{2}-1\right) \neq 0\right\} \) c) \( B=\left\{x: x^{2}=2 \Leftrightarrow x \geq-1\right\} \) d) \( C=\left\{x:\left(x^{3}-2 x\right) \neq 0\right\} \) e) \( C=\{x:(x-2)(x+3)=0 \Rightarrow x \geq 0\} \)

2) \( \left(w_{n}\right) \) a pour terme général : \( w_{n}=4^{n}-5^{n} \) Sxercice 2: (5 points) Soit \( \left(u_{n}\right) \) la suite définie par \( u_{0}=-3 \) et pour tout \( n \in N \) par \( u_{n+1}=\frac{9}{6-u_{n}} \). Soit \( \left(v_{n}\right) \) la suite définie par \( v_{n+1}=\frac{1}{u_{n}-3} \) 1) Démontrer que la suite \( \left(v_{n}\right) \) est arithmétique de raison \( \frac{-1}{3} \) 2) En déduire l'expression de \( v_{n} \) puis de \( u_{n} \) en fonction de \( n \). 3) Déterminer la limite de la suite ( \( u \) ).